mathematician research project high school

Virtual Math Circle: Research Opportunities for High School Students

Lsu math circle.

• Paid Mentorships
• Summer 2024 Projects
• Summer 2023 Projects
• Summer 2022 Projects
• Summer 2021 Projects
• Contact Math Circle

Math Circle virtual summer camps bring together rising 9th–12th grade math enthusiasts to:

• learn material not typically taught in a high school curriculum;
• traverse the complex world of college mathematics;
• conduct mathematical research with guidance from university faculty and graduate students;
• present a 45-minute, colloquial-style poster session;
• hone research and communication skills through a capstone project.

Each student project may potentially:

• qualify as a fall science fair project;
• evolve into deeper research experiences with faculty;
• merit financial support towards future travel to conferences, or for publication costs;
• enhance college applications.

Math Circle virtual summer camps are an outreach collaboration between the LSU Department of Mathematics and the LSU Gordon A. Cain Center for STEM Literacy .

Work with a mentor and peers

At the start of the summer camp, research mentors give virtual talks on their area of research and potential research topics. Students in groups of 4 will meet virtually with their mentor, Monday–Friday for 2–3 hours each day, for a duration of 3 weeks. Students will be exposed to a wide variety of topics in each field and will gain a solid foundation in university-level mathematics.

Upcoming session dates and research topics

• Summer 2024 Math Circle projects and information

Archive of past sessions and projects

• Summer 2023 Math Circle projects and information
• Summer 2022 Math Circle projects and information
• Summer 2021 Math Circle projects and information

Contact Isaac Michael <[email protected]> .

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High School Mathematics Research

Quantitative research uses statistical analysis and modeling to understand trends in data sets and make predictions about future outcomes. These methods help researchers make advancements in a variety of disciplines. Pure math often leads to unexpected breakthroughs in various fields. Such as abstract algebraic structures like groups and rings later finding unexpected applications in cryptography. Math is also still full of problems yet to be solved like the Collatz Conjecture or the Riemann Hypothesis. To be a good mathematician, you need tenacity as problems can be notoriously challenging.

Quantitative Research Guide

Quantitative Articles

Quantitative Projects

Quantitative Mentors

Quantitative Scholars

Types of Mathematics Research and Careers

Pure mathematics , which involves exploring abstract mathematical concepts, can lead to careers in academia, where one can teach and conduct research. Some theoretical math topics and related careers include:

Number theory delves into the properties of integers and rational numbers, with applications in cryptography and data security. 

Algebraic geometry explores the interplay between algebraic equations and geometric shapes, offering career opportunities in computer graphics and physics. 

Topology, centered on the properties of space and continuity, can lead to a career in data analysis or materials science. 

Abstract algebra 's study of algebraic structures like groups and rings can lead to work in cryptography and coding theory. 

Mathematical logic , which involves formal logic and proof theory, is used in artificial intelligence. 

Differential geometry , exploring the geometry of curves and surfaces, has applications in theoretical physics, robotics, and computer graphics. 

Functional analysis , centered on vector spaces and operators, offers opportunities in quantum mechanics and data analysis. 

Applied mathematics uses mathematical principles to solve real-world problems. Some examples include:

Mathematical modeling involves creating mathematical representations of real-world phenomena and is relevant in fields like epidemiology and climate science. 

Operations research focuses on optimization and decision-making in logistics, finance, and transportation. 

Cryptography combines mathematics with computer science to secure communication and data, essential in cybersecurity. 

Actuarial science applies mathematical and statistical techniques to assess financial risks, commonly in the insurance industry. 

Quantitative finance uses mathematical models to analyze and predict financial markets, often leading to careers in finance. 

Data science and machine learning involve mathematical and statistical techniques to analyze vast datasets, with applications in diverse industries. 

How to Get into Mathematics

Once you figure out whether you’re more of a pure math or applied math person, you can take time to explore the problems that interest you the most. Start by reading some good books on the subject. Take Math courses in your high school. Try a deep dive into your subject with a summer mathematics program. Or find a mathematics mentor, either locally or virtually , who can help you start your own independent research project. They can also provide guidance and insights into the profession. Here are more details on actions you can take.

1. Take a Class in High School

In high school, students typically have the opportunity to take a sequence of math courses that build on each other. The specific courses offered can vary by school and location, but a common progression of math classes in the United States, for example, includes the following:

Algebra 1 : Algebra 1 is often the first high school math course and introduces fundamental algebraic concepts. Students learn to work with variables, equations, and basic algebraic operations. Some schools cover Algebra in middle school and allow accelerated students to skip straight to Geometry their Freshman year.

Geometry : Geometry focuses on the study of shapes, angles, and the properties of space. It builds upon algebra skills and introduces geometric theorems and proofs.

Algebra 2 : Algebra 2 delves deeper into algebraic concepts, including quadratic equations, functions, and inequalities. It further develops algebraic problem-solving skills.

Trigonometry : Trigonometry introduces students to trigonometric functions, identities, and applications. It is often taught in conjunction with Algebra 2.

Pre-Calculus : Pre-Calculus covers a wide range of mathematical topics, including advanced algebra, trigonometry, and introductory calculus concepts. It prepares students for more advanced math courses.

Calculus (AP or IB) : Calculus is the study of rates of change and accumulation, and it is typically divided into Calculus AB (single-variable) and Calculus BC (multivariable). This is an advanced course and may be taken as an AP or IB course for college credit.

These courses provide a progression of mathematical knowledge, with each one building upon the concepts learned in the previous course. Algebra forms the basis for geometry and algebra 2, which, in turn, lay the foundation for pre-calculus. Pre-calculus serves as a prerequisite for calculus, the most advanced high school math course. 

Beyond this sequence, high schools may offer additional courses such as Statistics and Discrete Mathematics , allowing students to explore their mathematical interests further.

2. Read a Book

Here are some foundational and contemporary mathematics books, providing a broad view of the subject and its real-world applications, as well as insights into the world of mathematical research.

Foundational books:

Elements by Euclid (circa 300 BCE): Euclid's "Elements" is a foundational work in geometry and mathematics, covering a wide range of geometric principles and proofs.

The Art of Problem Solving, Volume 1: The Basics by Richard Rusczyk (2006): This book is an excellent resource for high school students interested in mathematical problem-solving. It covers a variety of mathematical concepts and challenges.

Algebra by Michael Artin (1991): Michael Artin's "Algebra" provides a comprehensive introduction to algebra, a core area of high school mathematics.

Thought-provoking works:

The Princeton Companion to Mathematics by Timothy Gowers (2008):  This book offers insights into advanced mathematics and its various branches, written by experts in the field.

How Not to Be Wrong: The Power of Mathematical Thinking by Jordan Ellenberg (2014):  Jordan Ellenberg explores the practical applications of mathematics in everyday life, making advanced math concepts accessible.

The Man Who Knew Infinity by Robert Kanigel (1991):  This biography of mathematician Srinivasa Ramanujan provides a fascinating look into his life and contributions to number theory.

Birth of a Theorem: A Mathematical Adventure by Cédric Villani (2015): This book chronicles the journey of mathematician Cédric Villani as he works on a groundbreaking mathematical proof, offering insights into the world of mathematical research.

The Joy of x: A Guided Tour of Math, from One to Infinity by Steven Strogatz (2012): Explores a wide range of mathematical topics, making them accessible to a general audience.

Love and Math: The Heart of Hidden Reality by Edward Frenkel (2013): Explores the connection between mathematics and the universe, providing a thought-provoking perspective on the subject.

Humble Pi: A Comedy of Math Errors by Matt Parker (2019): More of a fun pick, this book explores the often hilarious side of mathematical errors, miscalculations, and the consequences of getting numbers wrong in real-world situations, offering a lighthearted journey through the world of mathematical blunders.

Online Resources:

Websites like Khan Academy, YouTube, and Coursera offer video lessons on a wide range of math topics, often with interactive exercises and practice problems. Wolfram Alpha, Brilliant.org, and Desmos offer interactive math tools and resources. Some good math YouTube channels to check out are 3Blue1Brown (with its animations are excellent for understanding complex topics), Numberphile (covers a wide range of mathematical topics, presented by different mathematicians), and Mathologer. You can use math software like MATLAB, Mathematica, or GeoGebra for hands-on exploration of mathematical concepts. Math Stack Exchange and Reddit's r/learnmath are also great places to ask questions and learn from other students and math enthusiasts. 

Engaging in math puzzles, games, and brain teasers can be another fun way to strengthen your math skills. Look for Sudoku, chess, or other math-related games.

3. Extracurricular Study

There are many extracurricular activities that can help you strengthen your mathematical skills and expose you to new and exciting concepts.

Math Competitions: The American Mathematics Competitions (AMC) or the Math Olympiad can sharpen your problem-solving skills and expose you to a wide range of mathematical concepts. 

Chess Club : Chess is an excellent extracurricular activity for a high school student interested in mathematics. While it may not seem directly related to math, chess offers several benefits that can enhance your mathematical skills such as pattern recognition, strategic thinking, concentration, patience, and algorithmic thinking.

Science Clubs : Clubs like robotics, physics, and engineering can expose you to math-related topics and offer opportunities to apply math in hands-on projects.

Tutoring : Participate in outreach activities like tutoring younger students or conducting math workshops. Teaching others helps reinforce your own understanding of math.

Math Conferences and Lectures :  Attend local math conferences and lectures, if available. These events can introduce you to advanced mathematical topics and real-world applications.

Mathematics Research Opportunities 

You could dive into math research in a pre-college program, a local community college, a competition, an internship, or a virtual program. A qualified adult math advisor or mentor is invaluable if you want to pursue your own project. While books are a good starting point, there’s nothing being able to consult a knowledgeable mathematician on complex problems. 

Find research programs close to home

We’ll go into summer math programs in more depth in the next section, but if you want to find all types of established research opportunities close to home, our High School Student Research Opportunities Database is an excellent resource. Click on your state, then search based on your location, institution, event type (in-person or virtual), and tuition (paid or free). 

Open Source Contributions

Contribute to open-source projects. It's a great way to gain real-world experience, collaborate with experienced mathematicians, and give back to the community. Websites like GitHub can help you find projects to contribute to. SymPy is an open-source Python library for symbolic mathematics, and you can help contribute to the development of this library. And SageMath is an open-source mathematics software system. Students can contribute code, documentation, or work on existing issues.

Work with a professor

If you have a clear idea of your passions, you can reach out to professors in your field to see if they are open to collaborating with you. Refer to our Guide to Cold-Emailing Professors (written by Polygence literature research mentor Daniel Hazard , a Ph.D. candidate at Princeton University).

Enter a competition

While not exclusively for mathematics, the Regeneron International Science and Engineering Fair (ISEF) is a prestigious science fair where students can present original research projects, including those in mathematics. A mathematics competition that allows students to work on challenging problems at their own pace over several months is the USA Mathematical Talent Search (USAMTS): And the most prestigious international mathematics competition is the International Mathematical Olympiad (IMO). While reaching the national team is difficult, the process of preparing for it can be a huge learning experience.

Engage in your own research project

Students with initiative and focus can opt to tackle research independently. Carly Taylor , a Stanford University senior who has completed several research projects this way, outlined a guide about how to write a self-guided research paper . By reading it, you’ll get a better understanding of what to expect when taking on this type of project.

Summer Programs in Mathematics

Here are some top picks for summer math research programs. We chose them based on a combination of their affordability, name recognition, social opportunities, and academic rigor.

1. Program in Mathematics for Young Scientists (PROMYS)

Hosting institution: Boston University

Cost: $6,000 

Format: In-person (Boston, MA)

Application deadline: Early March

This 6-week program is for high school sophomores to seniors who love math. Each day kicks off with Number Theory lectures followed by research projects done in the lab, advanced seminars, and guest lecturers. Some examples of past minicourses include Brouwer Fixed Point Theorem (in 2D), Linear Algebra, Generating Functions, Spectral Graph Theory, Surreal Numbers, LaTeX Workshop, and The Moon is a Planet and Other Astronomical Hot Takes. Financial aid is available.

2. Canada/USA Math Camp

Hosting institution: Various

Cost: $5,000

Format: In-person (Location varies from year to year)

If you find beauty in advanced mathematical ideas and would like to live and breathe math for 5 weeks, this summer program is for you. You’ll study with world-renowned researchers and hang out with students from all over the world who are just as passionate about math as you are. Some topics you’ll cover include Abstract Algebra, Topology, and Real Analysis, and past projects include building robots and crocheting a non-orientable surface. Financial aid is available. 

3. Stanford University Math Summer Camp (SUMaC)

Hosting institution: Stanford University

Cost: $3,550-$8,250

Format: Online and In-person (Stanford, CA)

Application deadline: Early February

Go beyond the key concepts in math that you may learn in high school into more advanced topics (e.g., group theory) and then apply them to real-life applications (e.g., the Rubik’s Cube). This program is for high school sophomores and juniors who are curious about higher math. It’s offered as both an online program (3 weeks) or a residential program at Stanford (4 weeks). The online version is slightly less competitive in that 64 participants are chosen, but you can ask to be considered for the online program, the in-person, or both. 

For a full list of summer programs be sure to our Top Math Summer Programs for High School Students article

Math Internships for High School Students

A few of the summer programs we found were either paid or unpaid internships.

1. Simons Summer Research Program

Hosting institution: Stony Brook University

Cost: Paid fellowship

Format: In-person (Stony Brook, NY)   

Also known as the Simon Fellowship, this prestigious and highly selective 8-week program matches about 30 students each year with a Stony Brook faculty mentor in the fields of science, math, computer science, and more. Students are selected based on their academic achievements, research potential, and personal qualities such as creativity, curiosity, and dedication. This program gives you a great opportunity to join research groups, produce a research abstract, work with a supportive community of peers and mentors, plus receive a stipend award.

2. Summer Internship Program (Spark SIP)

Hosting institution: Spark

Cost: Paid internship

Format: In-person (Seattle, WA) 

Application deadline: Mid-March

The Spark SIP program connects high school students with specific industry experts and educators in the Greater Seattle area that will act as sponsors. In March, you can explore the Spark website for projects you might be interested in. You can apply for up to 5 different projects. If accepted to a project, you will then work on it over the course of the summer for an agreed-upon stipend and hours. 

You can also check for opportunities at your local community college and read our full list of internship opportunities for students interested in mathematics .

Math Project Ideas and How to Brainstorm Your Own

A great math research topic often arises from questions that genuinely intrigue you—questions that make you curious and eager to delve deeper. Don't hesitate to blend disciplines or explore interdisciplinary connections, making your research both unique and personally meaningful. You can apply mathematical concepts to real-world scenarios, from analyzing sports data to understanding economic trends.

Polygence Scholars Are Also Passionate About

Here are some examples. 

The mathematical properties of elections

In recent years, there has been a lot of discussion about which election mechanism is most effective at achieving various goals. Proposed mechanisms in United States elections include majority elections, the electoral college, approval voting, and ranked-choice voting. All of these mechanisms have benefits and drawbacks, and it turns out that no perfect election mechanism exists. Look at the work being done by mathematicians to understand when elections fail, and what can be done to improve them. Choose the strongest mechanism and use evidence to support your claim.

Idea by math research mentor Grayson

Impact of climate change on drought risk

Are you interested in environmental economics, risk analysis, or water resource economics?

You can use historical data on precipitation, temperature, soil moisture, drought indicators, and meteorological models that simulate atmospheric conditions to train a machine-learning model that can assess the likelihood and intensity of droughts in different regions under different climate scenarios. You can also explore your assessments' potential adaptation strategies and policy implications. This project would require some skills in data processing, machine learning, and meteorological modeling.

Idea by math research mentor Jameson

Measuring income inequality and social mobility

If you’re interested in the intersection of mathematics and public policy, here’s an idea. Use data from the World Bank, the Organization for Economic Co-operation and Development (OECD), and other sources to calculate the Gini coefficient and the intergenerational elasticity of income for different countries and regions over time. Explore the factors that influence these measures and their implications for economic development and social justice. You will need to have some skills in data collection, analysis, and visualization.

Check out even more project ideas in the 12 Math Project Ideas for Middle and High School Students post , which also talks about how to showcase your finished work.  

You can also brainstorm your own project ideas . If you want support, the Pathfinders program gives you the chance to meet with three different mentors who specialize in your field of interest. You can discuss your project ideas with them, and they can help you grow your idea, discover new research techniques, and point the way to great resources and alternative options. 

Math Projects from Polygence Scholars

To get a sense of what’s possible, here are a few projects by some of our Polygence Math Scholars . 

Review Paper on Quantum Algorithms

Ahmet's mathematical passion project offers detailed breakdowns of the first introduced quantum algorithm Deutsch-Jozsa, and the first quantum algorithm proven to be faster than classical algorithms, Grover’s Algorithm. It also includes a side-by-side comparison of the quantum algorithms and their classical counterparts. He uploaded his paper on Github and plans to submit it to an official publication soon.

Personal Finance Guide for Beginners

Anna’s finance project provides an overview of topics related to personal finance, covering tax and benefits, tax-deferred savings, interest rates, cost of living, investing, insurance, and housing to help young adults manage their savings. To further her understanding of how different areas of finance influence one's life consumption, she created a life consumption plan for a hypothetical person and produced a paper. 

Writing a Math Research Paper

Because math is so foundational in the sciences, there are many different directions you can take with your math passion project. Decide which topics within mathematics most speak to you. Maybe you’re more interested in how math is used in sports statistics, how you can harness math to solve global problems, or perhaps you’re curious about how math manifests itself in the physical realm. Once you find a topic that interests you, then you can begin to dive deeper. 

Keep in mind that some passion projects may require more technical skills, such as computer programming, whereas others may just explore theoretical concepts. The route you take is totally up to you and what you feel comfortable with, but don’t be afraid to pursue a project if you don’t currently have the technical skills for it. You can view it as an opportunity to learn new skills while also exploring a topic you’re excited about.

Outlining your research paper is also a useful way to make your research paper feel less overwhelming. Your research will generally include sections such as Materials , Methods , Data , Discussion , and Conclusion . You’ll also need to write an Introduction that opens with the problem you’re trying to solve, any existing research, and an overview of your research—all of which is best written about after you’ve finished your research and programming. Another important piece to your paper is your thesis statement . You can always come up with a preliminary or working thesis and then refine it or completely revise it as you learn more. You also may need to write an abstract . At its core, an abstract is a standalone piece of writing that offers a snapshot of the problem, methodology, findings, and conclusions. If you need more general guidance overall, here’s a great article on how to write a good research paper . 

Finally, if you have some ideas and want to conduct math research with the guidance of a mentor, apply to be a part of our flagship mentorship program . 

Showcasing Math Projects

After you’ve created a clear and concise research paper outlining your problem statement, methodology, findings, and conclusions, it’s time to show it to the world . For a more polished presentation of your mathematical equations, use LaTeX or other such typesetting tools. Consider developing visual aids such as graphs, charts, and diagrams to enhance understanding. A well-designed poster summarizing key aspects of your research can be helpful if you’re presenting your work at science fairs or conferences. You should also write a compelling abstract to provide a concise overview. To really captivate your audience, try to emphasize real-world applications and the relevance of your research. 

As for platforms on which to share your work, you could create a website or blog to share your research and even incorporate a video presentation to explain your project's significance and findings. Github is also a great place to show your computational work or to collaborate in ongoing open-source projects such as the Open Logic Project or the HoTT Book .

You could also participate in science fairs, math competitions , or conferences to present your work. Networking with peers and professionals can provide valuable feedback. Overall, a thoughtful combination of written, visual, and interactive elements will effectively communicate your passion and findings.

For a full list, check out our 20 Best Math Competitions for High School Students .

Math Project Ideas for High School

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Are you tired of hearing, “When will we ever use this type of math?” Explore the world of applied math with these math projects for high school students.

High School Math Project Ideas by Subject

Math projects are an ideal way to increase your students’ enthusiasm for math.

Math is not a dull subject! With these math projects, students will use the skills of research, problem-solving, critical thinking, and creativity.

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Algebra Math Project Ideas

These algebra math project ideas for high school bring algebra into the real world.

Modeling Real-World Situations

Are your students interested in the population of endangered species? Or the growing population of the planet?

Are they curious about investing and seeing their money grow?

Teach them to create mathematical models of real-life situations and use these tools to analyze the data.

Data Analysis and Statistics

Students can collect data on a topic of interest, such as sports, weather patterns, or social media usage, and perform statistical analysis using algebraic techniques.

They can create scatter plots, calculate regression lines, analyze correlation coefficients, and draw conclusions based on their findings.

Fantasy Football Mathematical Modeling

Do you have students who love fantasy football?

Give them an edge by incorporating algebra!

Students can use algebraic concepts to analyze various aspects of the game.

They can explore topics such as scoring trends, player performance evaluation, or game strategies using mathematical models and statistical analysis.

Algebraic Art

On graph paper, students can plot various algebraic functions (linear, quadratic, or exponential).

(You could also use a digital graphing program.)

Where the functions overlap, color the shapes.

Explore symmetry, transformations, and creativity through this combination of math and art!

Financial Literacy Project

Students pick a future career and a hypothetical budget based on that income.

Use algebraic equations to calculate savings, loan payments, and interest.

Explore the concepts of compound interest and debt repayment.

Geometry Math Project Ideas

These geometry math project ideas for high school highlight all that is weird and wonderful about shapes!

Exploring Fractals

Fractals are fascinating! They involve a shape that branches into smaller versions of itself.

They are found in nature (think ferns and snowflakes), have applications to tech, and make for incredible artwork!

Check out some digital art involving fractals.

Students can research and create visual representations of different fractals, such as the Sierpinski Triangle, Koch Snowflake, or Mandelbrot Set.

Investigating Polyhedra

Students can study different types of polyhedra, such as platonic solids or Archimedean solids.

They can construct physical models (straws and pipe cleaners, anyone?).

They can also use software to explore their properties, such as the number of vertices, edges, and faces.

Students can learn about their various patterns of symmetry.

Designing a Geometric City

Students can design a fictional city using geometric principles.

They can create a layout for the city, incorporating different shapes, angles, and proportions.

Make the project cross-curricular by creating a story of life in the fictional city.

Urban Planning

Students can explore how geometric concepts are applied in urban planning and architecture.

Which cities of the world are the most geometric in their design?

Which architectural styles are the most “Euclidean”?

Analyzing Tessellations

Students can investigate tessellations and their properties. This is an excellent jumping-off point to the various types of symmetry.

They can create their own tessellation patterns using regular polygons or explore famous examples of tessellations found in art and nature.

Geometry in Art

Students can explore the relationship between geometry and art.

They can research different artists who incorporate geometric principles in their work, such as Piet Mondrian or M.C. Escher.

(You can even find fractals in Jackson Pollock paintings!)

They can analyze the use of symmetry, proportion, and geometric shapes in these artworks.

Go one step further and have students create their own geometric art pieces.

Calculus Math Project Ideas

Calculus helps us understand our world. Make it come alive with these calculus math project ideas for high school students.

Optimization Problems

How does calculus intersect with the real world? Knowing calculus can save money!

It has implications in product design and even backyard projects!

Students can explore optimization problems by finding functions’ maximum or minimum values in various contexts.

They can explore real-world scenarios, such as maximizing the volume of a box given a fixed amount of material or minimizing the cost of constructing a fence.

The Trouble with Tribbles

(Okay, okay, this is a Star Trek reference no student will likely get.)

You can riff on this episode with fun exponential growth or decay scenarios.

(In fact, Fibonacci himself conceptualized his sequence by imagining a colony of rapidly mating rabbits.)

Students can use calculus to analyze the growth or decay of their imaginary species.

The Shape of Water

Calculus is geometry’s much cooler big brother.

Bring in three-dimensional shapes (like water bottles, bowling pins, etc.) and show students how to find the surface area of these shapes using integral calculus.

They can then try it on their own!

Calculus in Physics

Students can explore the application of calculus in physics problems.

They can choose topics such as motion, forces, or energy and use calculus concepts to analyze these phenomena.

Have them give a demonstration of these applications to the class.

Calculus in Engineering

Students can explore how calculus is used in engineering applications.

They can choose topics such as fluid flow, structural analysis, or electrical circuits and use calculus to model and solve engineering problems.

Calculus in Tech

Explore how technology uses calculus (for example, GPS and image processing).

Analyze algorithms and mathematical models. What are the limitations? How can this technology improve?

High School Math Project Ideas

These math projects for high school will help your students see the purpose (and fun) in math).

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Games are the secret to learning math and statistics, says new research

by University of Warwick

Games may be the secret to learning numbers based subjects like math and economics, according to new research.

Many students say they struggle with subjects like economics and statistics, with 83% of university courses in these subjects taught using a traditional lecturing approach.

However, new research has shown that by including games in the teaching of these subjects, student achievement and satisfaction can be significantly increased, with numbers of students failing their course cut significantly.

Assistant Professor Joshua Fullard of Warwick Business School, who led the research, commented, "This research backs up what we already know—that traditional lecturing is not the best approach for learning, even in numbers-based subjects like economics or statistics."

"The effects of games on students are not small or limited to some people in the class. Applied across a college or university, the increased rates of student success would result in hundreds of students not failing, achieving higher grades and being more satisfied in their learning at the same time."

In the research, two groups of students went through their studies, with one incorporating games into learning, while the other did traditional teaching only.

The study found that the group who included games achieved significantly better grades, with the average exam score up by 7%.

Overall, the median student in the group with the games achieved a 69% as opposed to the median student in the other group who achieved a 60%—almost the difference between a 2:1 and a first in their degree.

The rate of failure for students who played games was also lower, only 7%. In the other group, almost a fifth of students failed. This suggests that games benefit all the students in the class, even those who do not get a higher grade.

The students who used games also had a much higher rate of student satisfaction, as well as higher attendance to lectures and seminars.

One reason why more teachers and lecturers don't use games in their teaching is due to time pressure they are under, with lots of ground to cover and only limited time to achieve this.

The new research suggests several short, easy to implement activities to improve student learning without educators having to sacrifice hours of teaching time.

Provided by University of Warwick

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California math matters: Stanford looks into complaints on professor Jo Boaler

No formal investigation at this time.

An anonymous complaint filed with Stanford on March 20 accused math education professor Jo Boaler of engaging in “reckless disregard for accuracy” in both her individual work and her work on the recently revised California Math Framework (CMF). 

According to Boaler, the University started to evaluate the complaint but has not opened a formal investigation.

“Stanford takes such allegations seriously and considers them accordingly. The first step is to determine if the matter is one properly resolved in scholarly debate rather than through a formal university process,” wrote University spokesperson Luisa Rapport. Rapport declined to comment on the specific case due to University policies.

The 100–page complaint details 52 instances of alleged citation misrepresentation in Boaler’s work, both in the CMF and her research. It asks the University to investigate the allegations and, if confirmed, “take appropriate disciplinary action.”

The complaint comes amid a wave of critiques about the way math is taught in middle and high schools across California. With emphasis on equity-related issues, Boaler advocates for data science as an alternative pathway to Algebra II in high school math education.

The criticism was politically motivated amid “a movement to remove equity-focused faculty from universities,” Boaler said. She studies math education at the Graduate School of Education (GSE) and co-founded Youcubed , a research unit that provides free math resources for parents and educators. Boaler publicly responded to news of the complaint in a statement posted on Youcubed’s website.

She helped write the newest CMF, a document that advises K-12 educators in California. While it was submitted in January 2021, the CMF was not finalized until October 2023. The framework includes grade-level requirements and suggestions on how to teach classes.

Controversy surrounded a suggestion in initial versions that data science “validates” or satisfies Algebra II requirements. During the revision process, which lasted over two years, multiple educators, politicians and California businesspeople signed letters and voiced concerns over proposed changes. 

California Mathematics Council President Cole Sampson emphasized that the CMF was “supported by county offices up and down the state of California.”

Sampson said the focus on Boaler’s involvement in the CMF was tied to her influence in the math education field. 

The complaint alleges that misrepresentative citations in the CMF derived from Boaler’s work. Since she is the most cited author, it is based on Boaler’s work, the complainant writes.

The complaint used public comments on a 2023 website about the CMF by Stanford math professor Brian Conrad to match citation misrepresentations that appeared between the CMF and Boaler’s research.

“Enough of what I found seemed likely to be a concern shared by many other people,” Conrad said. 

The CMF was not the first to propose data science as an alternative to Algebra II: It was approved in 2014 by a unit in in the UC President’s Office, called the High School Articulation Unit. Following concerns that no Algebra II would leave students unprepared for higher-level math courses, it was revoked by the University of California Board of Admissions and Relations with Schools (BOARS) in July 2023. 

Boaler argued that data science satisfies the Algebra II requirement. 

“It is higher level maths,” she said. “It involves linear algebra and matrices, probability, statistics. The people who are saying it’s not high level maths have a very narrow view of what matters.”

According to Conrad and other critics, the data science replacement “was done irrespective of whether the substantive content of those courses actually adhere to the spirit of the word ‘validation.'”

To Boaler, validation is tied to broader concerns around equitable access to advanced math course.

“The racial breakdown of kids in calculus is horrific. And it’s built in that way,” Boaler said. “There are more courses in front of calculus than there are years of high school.” Research she co-authored found that students who take data science courses grow more positive about STEM and more interested in higher education.

Mathematicians versus educators?

The complaint “is clearly a disrespect of educators,” Boaler said. She echoed Sampson’s point that the final version of the CMF was supported across the state and the California Teachers Association.

But some critics pushed back. Conrad said that anyone could draw the same conclusions “although my mathematical knowledge may have led me to hone in on certain claims as not sounding plausible.”

According to Sampson, the complaint regurgitated points addressed during the revision process. The CMF passed unanimously following revisions. 

One complaint was about a reference to a 2013 study by Park and Brannon, which appeared in Boaler’s research and the CMF. The citation focuses on how mathematical learning is optimized when two sides of the brain communicate with each other. 

According to the complaint, however, the study does not support this claim since it was based on an adult sample. Additionally, they argued that neural claims were inaccurate since it didn’t involve brain imaging.

Boaler said the anonymous complaint does not understand or misinterprets her research. She said the complainant misread educational research and perhaps disagreed with her pedagogical perspectives.

“An anonymous complaint is particularly cowardly,” Boaler said.

The University is reviewing the anonymous complaint, which was circulated in online publications, wrote Alumni Affairs Vice President Howard Wolf ’80 to Avery Wang ’88 M.S. ’88 Ph.D. ’94 in an email obtained by The Daily.

The Daily has reached out to Wang, who studied applied mathematics, and the University for comment.

In a tweet on X, Jelani Nelson called on Stanford “to outsource the Boaler investigation to a neutral third party.” Nelson is an electrical engineering and computer science professor at the University of California, Berkeley.

Since Youcubed is a Stanford research unit, an internal investigation would pose a conflict of interest, Nelson wrote. Conrad and others organized a public statement that emphasized how essential Algebra II was to high school education. The statement stresses that “Students desiring to earn a 4-year college degree in data science, economics, or any STEM field must prioritize learning Algebra II in high school.”

Sampson characterized the discourse around curriculum as unproductive and combative. “Attacking each other and trying to disprove each other, as opposed to the dialogue is not getting us anywhere.”

This article was updated to correct a misspelling of Jo Boaler’s last name. The Daily regrets this error.

This article was updated to reflect that the ability for data science to validate Algebra II was approved in 2014 by the High School Articulation Unit, not BOARS. The Daily regrets this error.

Greta Reich '26 is the vol. 265 co-Magazine editor, University desk editor for News, staff writer and copy editor for The Daily. She is studying Political Science and Communication and can almost always be found at CoHo. Contact her at greich 'at' stanforddaily.com.

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Best Global Universities for Mechanical Engineering in Russia

These are the top universities in Russia for mechanical engineering, based on their reputation and research in the field. Read the methodology »

To unlock more data and access tools to help you get into your dream school, sign up for the  U.S. News College Compass !

Here are the best global universities for mechanical engineering in Russia

Tomsk polytechnic university.

See the full rankings

• Clear Filters
• # 74 in Best Universities for Mechanical Engineering
• # 879 in Best Global Universities  (tie)

30 Best universities for Mechanical Engineering in Moscow, Russia

Updated: February 29, 2024

• Art & Design
• Computer Science
• Engineering
• Environmental Science
• Liberal Arts & Social Sciences
• Mathematics

Below is a list of best universities in Moscow ranked based on their research performance in Mechanical Engineering. A graph of 269K citations received by 45.8K academic papers made by 30 universities in Moscow was used to calculate publications' ratings, which then were adjusted for release dates and added to final scores.

We don't distinguish between undergraduate and graduate programs nor do we adjust for current majors offered. You can find information about granted degrees on a university page but always double-check with the university website.

1. Moscow State University

For Mechanical Engineering

2. Bauman Moscow State Technical University

3. National Research University Higher School of Economics

4. Moscow Aviation Institute

5. N.R.U. Moscow Power Engineering Institute

6. National Research Nuclear University MEPI

7. National University of Science and Technology "MISIS"

8. Moscow Institute of Physics and Technology

9. Moscow State Technological University "Stankin"

10. RUDN University

11. Moscow Polytech

12. Moscow State University of Railway Engineering

13. Finance Academy under the Government of the Russian Federation

14. Moscow Medical Academy

15. Russian State University of Oil and Gas

16. mendeleev university of chemical technology of russia.

17. Russian National Research Medical University

18. Plekhanov Russian University of Economics

19. National Research University of Electronic Technology

20. Moscow State Pedagogical University

21. Russian Presidential Academy of National Economy and Public Administration

22. State University of Management

23. Moscow State Institute of International Relations

24. Russian State Geological Prospecting University

25. russian state agricultural university.

26. New Economic School

27. Moscow State Technical University of Civil Aviation

28. Russian State University for the Humanities

29. Russian State Social University

30. Moscow State Linguistic University

Universities for Mechanical Engineering near Moscow

Engineering subfields in moscow.

Mathematics at MIT is administratively divided into two categories: Pure Mathematics and Applied Mathematics. They comprise the following research areas:

Pure Mathematics

• Algebra & Algebraic Geometry
• Algebraic Topology
• Analysis & PDEs
• Mathematical Logic & Foundations
• Number Theory
• Probability & Statistics
• Representation Theory

Applied Mathematics

In applied mathematics, we look for important connections with other disciplines that may inspire interesting and useful mathematics, and where innovative mathematical reasoning may lead to new insights and applications.

• Combinatorics
• Computational Biology
• Physical Applied Mathematics
• Computational Science & Numerical Analysis
• Theoretical Computer Science
• Mathematics of Data

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40 facts about elektrostal.

Written by Lanette Mayes

Modified & Updated: 02 Mar 2024

Reviewed by Jessica Corbett

Elektrostal is a vibrant city located in the Moscow Oblast region of Russia. With a rich history, stunning architecture, and a thriving community, Elektrostal is a city that has much to offer. Whether you are a history buff, nature enthusiast, or simply curious about different cultures, Elektrostal is sure to captivate you.

This article will provide you with 40 fascinating facts about Elektrostal, giving you a better understanding of why this city is worth exploring. From its origins as an industrial hub to its modern-day charm, we will delve into the various aspects that make Elektrostal a unique and must-visit destination.

So, join us as we uncover the hidden treasures of Elektrostal and discover what makes this city a true gem in the heart of Russia.

Key Takeaways:

• Elektrostal, known as the “Motor City of Russia,” is a vibrant and growing city with a rich industrial history, offering diverse cultural experiences and a strong commitment to environmental sustainability.
• With its convenient location near Moscow, Elektrostal provides a picturesque landscape, vibrant nightlife, and a range of recreational activities, making it an ideal destination for residents and visitors alike.

Known as the “Motor City of Russia.”

Elektrostal, a city located in the Moscow Oblast region of Russia, earned the nickname “Motor City” due to its significant involvement in the automotive industry.

Home to the Elektrostal Metallurgical Plant.

Elektrostal is renowned for its metallurgical plant, which has been producing high-quality steel and alloys since its establishment in 1916.

Boasts a rich industrial heritage.

Elektrostal has a long history of industrial development, contributing to the growth and progress of the region.

Founded in 1916.

The city of Elektrostal was founded in 1916 as a result of the construction of the Elektrostal Metallurgical Plant.

Located approximately 50 kilometers east of Moscow.

Elektrostal is situated in close proximity to the Russian capital, making it easily accessible for both residents and visitors.

Known for its vibrant cultural scene.

Elektrostal is home to several cultural institutions, including museums, theaters, and art galleries that showcase the city’s rich artistic heritage.

A popular destination for nature lovers.

Surrounded by picturesque landscapes and forests, Elektrostal offers ample opportunities for outdoor activities such as hiking, camping, and birdwatching.

Hosts the annual Elektrostal City Day celebrations.

Every year, Elektrostal organizes festive events and activities to celebrate its founding, bringing together residents and visitors in a spirit of unity and joy.

Has a population of approximately 160,000 people.

Elektrostal is home to a diverse and vibrant community of around 160,000 residents, contributing to its dynamic atmosphere.

Boasts excellent education facilities.

The city is known for its well-established educational institutions, providing quality education to students of all ages.

A center for scientific research and innovation.

Elektrostal serves as an important hub for scientific research, particularly in the fields of metallurgy, materials science, and engineering.

Surrounded by picturesque lakes.

The city is blessed with numerous beautiful lakes, offering scenic views and recreational opportunities for locals and visitors alike.

Well-connected transportation system.

Elektrostal benefits from an efficient transportation network, including highways, railways, and public transportation options, ensuring convenient travel within and beyond the city.

Famous for its traditional Russian cuisine.

Food enthusiasts can indulge in authentic Russian dishes at numerous restaurants and cafes scattered throughout Elektrostal.

Home to notable architectural landmarks.

Elektrostal boasts impressive architecture, including the Church of the Transfiguration of the Lord and the Elektrostal Palace of Culture.

Offers a wide range of recreational facilities.

Residents and visitors can enjoy various recreational activities, such as sports complexes, swimming pools, and fitness centers, enhancing the overall quality of life.

Provides a high standard of healthcare.

Elektrostal is equipped with modern medical facilities, ensuring residents have access to quality healthcare services.

Home to the Elektrostal History Museum.

The Elektrostal History Museum showcases the city’s fascinating past through exhibitions and displays.

A hub for sports enthusiasts.

Elektrostal is passionate about sports, with numerous stadiums, arenas, and sports clubs offering opportunities for athletes and spectators.

Celebrates diverse cultural festivals.

Throughout the year, Elektrostal hosts a variety of cultural festivals, celebrating different ethnicities, traditions, and art forms.

Electric power played a significant role in its early development.

Elektrostal owes its name and initial growth to the establishment of electric power stations and the utilization of electricity in the industrial sector.

Boasts a thriving economy.

The city’s strong industrial base, coupled with its strategic location near Moscow, has contributed to Elektrostal’s prosperous economic status.

Houses the Elektrostal Drama Theater.

The Elektrostal Drama Theater is a cultural centerpiece, attracting theater enthusiasts from far and wide.

Popular destination for winter sports.

Elektrostal’s proximity to ski resorts and winter sport facilities makes it a favorite destination for skiing, snowboarding, and other winter activities.

Promotes environmental sustainability.

Elektrostal prioritizes environmental protection and sustainability, implementing initiatives to reduce pollution and preserve natural resources.

Home to renowned educational institutions.

Elektrostal is known for its prestigious schools and universities, offering a wide range of academic programs to students.

Committed to cultural preservation.

The city values its cultural heritage and takes active steps to preserve and promote traditional customs, crafts, and arts.

Hosts an annual International Film Festival.

The Elektrostal International Film Festival attracts filmmakers and cinema enthusiasts from around the world, showcasing a diverse range of films.

Encourages entrepreneurship and innovation.

Elektrostal supports aspiring entrepreneurs and fosters a culture of innovation, providing opportunities for startups and business development.

Offers a range of housing options.

Elektrostal provides diverse housing options, including apartments, houses, and residential complexes, catering to different lifestyles and budgets.

Home to notable sports teams.

Elektrostal is proud of its sports legacy, with several successful sports teams competing at regional and national levels.

Boasts a vibrant nightlife scene.

Residents and visitors can enjoy a lively nightlife in Elektrostal, with numerous bars, clubs, and entertainment venues.

Promotes cultural exchange and international relations.

Elektrostal actively engages in international partnerships, cultural exchanges, and diplomatic collaborations to foster global connections.

Surrounded by beautiful nature reserves.

Nearby nature reserves, such as the Barybino Forest and Luchinskoye Lake, offer opportunities for nature enthusiasts to explore and appreciate the region’s biodiversity.

Commemorates historical events.

The city pays tribute to significant historical events through memorials, monuments, and exhibitions, ensuring the preservation of collective memory.

Promotes sports and youth development.

Elektrostal invests in sports infrastructure and programs to encourage youth participation, health, and physical fitness.

Hosts annual cultural and artistic festivals.

Throughout the year, Elektrostal celebrates its cultural diversity through festivals dedicated to music, dance, art, and theater.

Provides a picturesque landscape for photography enthusiasts.

The city’s scenic beauty, architectural landmarks, and natural surroundings make it a paradise for photographers.

Connects to Moscow via a direct train line.

The convenient train connection between Elektrostal and Moscow makes commuting between the two cities effortless.

A city with a bright future.

Elektrostal continues to grow and develop, aiming to become a model city in terms of infrastructure, sustainability, and quality of life for its residents.

In conclusion, Elektrostal is a fascinating city with a rich history and a vibrant present. From its origins as a center of steel production to its modern-day status as a hub for education and industry, Elektrostal has plenty to offer both residents and visitors. With its beautiful parks, cultural attractions, and proximity to Moscow, there is no shortage of things to see and do in this dynamic city. Whether you’re interested in exploring its historical landmarks, enjoying outdoor activities, or immersing yourself in the local culture, Elektrostal has something for everyone. So, next time you find yourself in the Moscow region, don’t miss the opportunity to discover the hidden gems of Elektrostal.

Q: What is the population of Elektrostal?

A: As of the latest data, the population of Elektrostal is approximately XXXX.

Q: How far is Elektrostal from Moscow?

A: Elektrostal is located approximately XX kilometers away from Moscow.

Q: Are there any famous landmarks in Elektrostal?

A: Yes, Elektrostal is home to several notable landmarks, including XXXX and XXXX.

Q: What industries are prominent in Elektrostal?

A: Elektrostal is known for its steel production industry and is also a center for engineering and manufacturing.

Q: Are there any universities or educational institutions in Elektrostal?

A: Yes, Elektrostal is home to XXXX University and several other educational institutions.

Q: What are some popular outdoor activities in Elektrostal?

A: Elektrostal offers several outdoor activities, such as hiking, cycling, and picnicking in its beautiful parks.

Q: Is Elektrostal well-connected in terms of transportation?

A: Yes, Elektrostal has good transportation links, including trains and buses, making it easily accessible from nearby cities.

Q: Are there any annual events or festivals in Elektrostal?

A: Yes, Elektrostal hosts various events and festivals throughout the year, including XXXX and XXXX.

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